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所在平台: Udemy |
课程主页: https://www.udemy.com/course/operations-research-part-ii/
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Coursera 运营研究（第二部分）课程摘要 本课程是运营研究系列讲座的第二部分，涵盖一系列关键主题，旨在为学员提供解决复杂管理问题的强大工具。 **课程内容涵盖：** * **指派模型（Assignment Model）：** 从理论基础入手，深入讲解各种类型的指派问题，包括最小化、迭代、最大化、不平衡、指派限制以及旅行商问题。学员将通过实际的数值计算来掌握这些概念的应用。 * **运输模型（Transportation Model）：** 介绍运输模型的概念，并详细讲解西北角法、最小成本单元法和沃格尔近似法（VAM）等初始解法。接着，将学习如何使用改进分配法（MODI Method）来优化运输方案。所有方法都将通过大量的数值示例进行演示。 * **蒙特卡洛模拟法（Monte Carlo Method of Simulation）：** 探讨蒙特卡洛模拟法的原理，并通过实际数值计算来展示其应用。 * **排队论（Queuing Theory）：** 讲解排队论的理论知识，并附带相关数值例子的求解。 * **线性规划对偶性（Duality in LPP）：** 深入解释线性规划中的对偶概念，并通过实例进行说明。 * **原问题转换为标准形式（Converting Primal to Standard Form）：** 演示如何将原始线性规划问题转化为标准形式，并提供相关的数值练习。 * **对偶单纯形法（Dual Simplex Method）：** 介绍对偶单纯形法的理论，并通过解题实例来巩固理解。 **先修要求：** 本课程要求学员具备基础数学知识以及基础管理学知识。 **学习目标：** 通过本课程的学习，学员将能够熟练掌握指派模型、运输模型、蒙特卡洛模拟、排队论、线性规划对偶性以及对偶单纯形法等运营研究的核心方法，并能将其应用于实际问题的分析和解决。
This course is the second part of the lecture series of Operations Research course. It takes you through various topics like Assignment Model, Transportation Model, Monte Carlo Method of Simulation, Queuing Theory, Duality in LPP, Converting Primal to Standard Form and Dual Simplex Method. Various numerical are solved to explain the concepts and their applications. Basic Mathematics and Basic Knowledge of Management subjects are the requirement for understanding of this subject.We start with Assignment Model theory and then take up numericals on six types namely, minimization, iterative, maximization, unbalanced, restriction on assignment and Travelling Salesman Problem.Further, we move to the concept of Transportation Model and then discuss about Northwest Corner Cell Method, Least Cost Cell Method and Vogel's Approximation Method(VAM). The solution further optimised using Modified Distribution(MODI) Method. Numericals are taken up on all the above topics.Third section deals with Monte Carlo Method of Simulation. Numericals are solved for the same. Fourth section discusses about the theory and numericals on Queuing Theory. Duality in LPP is explained in the fifth section along with numericals.Sixth section explains the theory and numericals are solved on the topic of Converting Primal to Standard Form.Lastly Dual Simplex Method is discussed in theory and numericals form.Happy Learning!
